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137137146810 = 2357164383637
BaseRepresentation
bin111111110111000000…
…0101100101110111010
3111002222022201212110120
41333232000230232322
54221324102144220
6142555552554110
712623246341356
oct1775600545672
9432868655416
10137137146810
1153183387174
12226b2b52936
13cc16729221
1468cd326466
15387971da40
hex1fee02cbba

137137146810 has 32 divisors (see below), whose sum is σ = 333764779392. Its totient is φ = 36054836160.

The previous prime is 137137146793. The next prime is 137137146877. The reversal of 137137146810 is 18641731731.

It is a happy number.

It is a super-2 number, since 2×1371371468102 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32189689 + ... + 32193948.

It is an arithmetic number, because the mean of its divisors is an integer number (10430149356).

Almost surely, 2137137146810 is an apocalyptic number.

137137146810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137137146810 is an abundant number, since it is smaller than the sum of its proper divisors (196627632582).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137137146810 is a wasteful number, since it uses less digits than its factorization.

137137146810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64383718.

The product of its (nonzero) digits is 84672, while the sum is 42.

The spelling of 137137146810 in words is "one hundred thirty-seven billion, one hundred thirty-seven million, one hundred forty-six thousand, eight hundred ten".

Divisors: 1 2 3 5 6 10 15 30 71 142 213 355 426 710 1065 2130 64383637 128767274 193150911 321918185 386301822 643836370 965754555 1931509110 4571238227 9142476454 13713714681 22856191135 27427429362 45712382270 68568573405 137137146810